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56119327650 = 23252409330469
BaseRepresentation
bin110100010000111110…
…001111101110100010
312100212001102020001200
4310100332033232202
51404413021441100
641440355542030
74024455262101
oct642076175642
9170761366050
1056119327650
1121888996531
12aa622ba916
1353a4788669
142a05322038
1516d6bede00
hexd10f8fba2

56119327650 has 72 divisors (see below), whose sum is σ = 150815713620. Its totient is φ = 14961006720.

The previous prime is 56119327639. The next prime is 56119327651. The reversal of 56119327650 is 5672391165.

56119327650 is a `hidden beast` number, since 5 + 611 + 9 + 3 + 27 + 6 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18503888841 + 37615438809 = 136029^2 + 193947^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 56119327596 and 56119327605.

It is not an unprimeable number, because it can be changed into a prime (56119327651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1826616 + ... + 1857084.

Almost surely, 256119327650 is an apocalyptic number.

56119327650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56119327650 is an abundant number, since it is smaller than the sum of its proper divisors (94696385970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56119327650 is a wasteful number, since it uses less digits than its factorization.

56119327650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34580 (or 34572 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 56119327650 in words is "fifty-six billion, one hundred nineteen million, three hundred twenty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 4093 8186 12279 20465 24558 30469 36837 40930 60938 61395 73674 91407 102325 122790 152345 182814 184185 204650 274221 304690 306975 368370 457035 548442 613950 761725 914070 920925 1371105 1523450 1841850 2285175 2742210 4570350 6855525 13711050 124709617 249419234 374128851 623548085 748257702 1122386553 1247096170 1870644255 2244773106 3117740425 3741288510 5611932765 6235480850 9353221275 11223865530 18706442550 28059663825 56119327650